820268420 has 24 divisors (see below), whose sum is σ = 1738666944. Its totient is φ = 325040096.

The previous prime is 820268417. The next prime is 820268431. The reversal of 820268420 is 24862028.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189512 + ... + 193791.

It is an arithmetic number, because the mean of its divisors is an integer number (72444456).

Almost surely, 2^820268420 is an apocalyptic number.

It is an amenable number.

820268420 is an abundant number, since it is smaller than the sum of its proper divisors (918398524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

820268420 is a wasteful number, since it uses less digits than its factorization.

820268420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383419 (or 383417 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 820268420 is about 28640.3285595679. The cubic root of 820268420 is about 936.0922806356.

The spelling of 820268420 in words is "eight hundred twenty million, two hundred sixty-eight thousand, four hundred twenty".